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Finding the Fourth Proportional to 10,243.56, 15,358.92 and 8,484.24

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Solution

The fourth proportional to 10,243.56, 15,358.92 and 8,484.24 is: 12,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.56 : 15,358.92 = 8,484.24 : x
  2. Step 2: Convert to fraction form
    10,243.56/15,358.92 = 8,484.24/x
  3. Step 3: Cross multiply
    10,243.56x = 15,358.92 × 8,484.24
  4. Step 4: Simplify right side
    10,243.56x = 130,308,763.42
  5. Step 5: Solve for x
    x = 130,308,763.42/10,243.56
  6. Step 6: Final answer
    x = 12,721.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.